GCF of 5692/736, 2611/9374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5692/736, 2611/9374 i.e 1/3449632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5692/736, 2611/9374.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5692/736,2611/9374?
Given fractions are 5692/736,2611/9374
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5692/736,2611/9374, numerators are 5692,2611
Denominators are 736,9374
The GCF of 5692,2611 is 1 .
LCM of 736,9374 is 3449632.
The greatest common factor of 5692/736,2611/9374 = [GCF of 5692,2611]/[LCM of 736,9374]= 1/3449632
Therefore, the GCF of 5692/736,2611/9374 is 1/3449632.
To find the highest common factor of 5692,2611, we have to find the factors of both numbers and list the highest common factor.
The factors of 5692 are 1, 2, 4, 1423, 2846, 5692
The factors of 2611 are 1, 7, 373, 2611
The HCF of 5692,2611 is 1.
Lets's calculate GCF of 5692,2611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5692,2611 By Matching Biggest Common Factor Method
Now, list down the factors of 5692
:1,2,4,1423,2846,5692
Now, list down the factors of 2611
:1,7,373,2611
Greatest Common Factor
We found the factors 5692,2611 . The biggest common factor number is the GCF number.
So the greatest common factor 5692,2611 is 1.
Lets's calculate LCM of 736,9374
| 2 | 736, 9374 |
| 368, 4687 |
∴ So the LCM of the given numbers is 2 x 368 x 4687 = 3449632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3449632
Therefore, the GCF of Fractions 5692/736,2611/9374 is 1/3449632
Least Common Multiple of 736,9374 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 736,9374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9374) x common factors =2 x 1 = 2
LCM(736,9374) = ( 736 × 9374 ) / 2
LCM(736,9374) = 6899264 / 2
LCM(736,9374) = 3449632
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FAQs on GCF of Fractions of 5692/736, 2611/9374
1. What is the HCF of 5692,2611?
The HCF of 5692,2611 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5692/736, 2611/9374?
Answer: GCF of Numerators as per given numbers 5692/736, 2611/9374 is
GCF of Numerators i.e. for 5692,2611 is 1
LCM of denominators i.e. for 736,9374 is 3449632.
Thus, GCF of Fractions is 1/3449632.Finally, GCF of Fractions for 5692/736, 2611/9374 is 1/3449632.